An effective model for the X 2A1–A 2B2 conical intersection in NO2
Author(s) -
Marc Joyeux,
R. Jost,
M. Lombardi
Publication year - 2003
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.1601602
Subject(s) - conical intersection , hamiltonian (control theory) , eigenvalues and eigenvectors , conical surface , perturbation (astronomy) , ground state , hamiltonian matrix , quantum , energy spectrum , intersection (aeronautics) , physics , quantum mechanics , mathematics , geometry , mathematical optimization , symmetric matrix , engineering , aerospace engineering
International audienceWe propose an efficient method for calculating the eigenstates and adjusting the parameters of an effective Hamiltonian, which reproduces the experimentally observed energy levels of NO2 up to 11 800 cm-1 above the quantum mechanical ground state, that is a few thousands of cm-1 above the X 2A1-A 2B2 conical intersection, with a rms error less than 4 cm-1. This method principally relies on the determination, through first-order perturbation theory, of an optimal basis for each surface, which takes into account the nonresonant energy shifts experienced by the states of this surface. As a result, the size of the matrix, which one has to build and diagonalize to converge the spectrum up to 11 800 cm-1, is of the order of 500-1000 instead of several tens of thousands. Thank to this Hamiltonian, the analysis of the experimental spectrum up to 11 800 cm-1 could be completed. A detailed description of all states located above 9500 cm-1 is proposed, those lying below 9500 cm-1 being already known and tabulated
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